Manuals/calci/MATRIXPOWER

MATRIXPOWER (a,b,ConsiderUnits)

• $a$ is any matrix.
• $b$ is any constant value or any matrix.

Description

• This function shows the power value of all the corresponding entries.
• In $MATRIXPOWER(a,b,ConsiderUnits)$, $a$ and $b$ are any two matrices.
• The power of a number indicating how many times we have to multiply the number.
• Power is also called Exponents or Indices.
• Here both matrices should be the same dimension.
• So it is finding the power value of first value in the first matrix to the power first value in the second matrix.
• Consider 3x3 matrices with the entries $A=(a_{ij})$ and $B=(b_{ij})$,i and j= 1,2,3.
• So it is calculating $a_{11}^{b_{11}}$,$a_{12}^{b_{12}}$ and $a_{13}^{b_{13}}$
• Suppose second matrix is less column or row values then the power value will assigned as 0.
• After calculating power value the remaining row and column values will display as 1.

Examples

1. MATRIXPOWER([2,3,4;5,6,7],5)

32	243	1024
3125	7776	16807

2. MATRIXPOWER([3,4,9;10,12,7;5,4,8],[5,2,7;3,6,9;11,12,13])

243	16	4782969
1000	2985984	40353607
48828125	16777216	549755813888

See Also

• MATRIXSCALAREXP
• MATRIXOPERATORS
• MATRIXMOD

References

• Matrix Power

• List of Main Z Functions
• Z3 home